Vortex laws and field line invariants in polytropic field-aligned MHD flow

Details Vortex laws and field line invariants in polytropic field-aligned MHD flow Vortex laws and field line invariants in polytropic field-aligned MHD flow

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jgr....99..143s&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 99, no. A1, p. 143-149

Physics

10

Compressible Flow, Field Aligned Currents, Magnetic Fields, Magnetohydrodynamic Flow, Vorticity, Angular Momentum, Gas Dynamics, Invariance, Magnetic Flux, Polytropic Processes

Scientific paper

The consequences of conservation of angular momentum in, single- or double-polytropic, steady, compressible, magnetohydrodynamic (MHD) flow parallel to the magnetic field are examined, the principal result being the MHD counterparts of Crocco's theorem and Lord Kelvin's theorem, both expressed in terms of a generalized vorticity. Under special assumptions concerning geometry and/or homogeneity of the general field line invariants, these vortex laws lead to additional field line invariants which describe the conservation of generalized angular momentum in the plasma, taking into account torques produced by j x B forces and Coriolis forces.

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